Association schemes of quadratic forms

DOI10.1016/0097-3165(85)90016-0zbMath0564.05014OpenAlexW1989455284MaRDI QIDQ1057869

Yoshimi Egawa

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90016-0

zbMATH Keywords

association schemesquadratic formsdistance regular

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other designs, configurations (05B30) Structural characterization of families of graphs (05C75)

Related Items (25)

Distance-regular graphs of large diameter that are completely regular clique graphs ⋮ The large cliques in the graph of quadratic forms ⋮ The weight distributions of some cyclic codes with three or four nonzeros over \(\mathbb F_3\) ⋮ Symmetric bilinear forms over finite fields of even characteristic ⋮ Eigenvalues of association schemes of quadratic forms ⋮ The last subconstituent of the Hemmeter graph ⋮ A partially ordered set and q-Krawtchouk polynomials ⋮ There are only finitely many distance-regular graphs of fixed valency greater than two ⋮ On the distribution of the number of fixed vectors for the finite classical groups ⋮ A new family of distance-regular graphs and the \(\{ 0,1,2 \}\)-cliques in dual polar graphs ⋮ The subconstituent algebra of an association scheme. I ⋮ Designs as maximum codes in polynomial metric spaces ⋮ Non-symmetric association schemes of symmetric matrices ⋮ On the bounds and achievability about the ODPC of \(\mathrm{GRM}(2,m)^*\) over prime fields for increasing message length ⋮ Automorphisms of the quadratic forms graph over a finite field of characteristic two II ⋮ Association schemes of quadratic forms over a finite field of characteristic two ⋮ TD-pairs and the $q$-Onsager algebra ⋮ Quadratic and symmetric bilinear forms over finite fields and their association schemes ⋮ Fissions of classical self-dual association schemes ⋮ Classification of the maximal cliques of size \(\geq q+4\) in the quadratic forms graph in odd characteristic ⋮ On the maximal cliques of the quadratic forms graph in even characteristic ⋮ Association schemes of conjugate matrices ⋮ The automorphism group and the convex subgraphs of the quadratic forms graph in characteristic 2 ⋮ Algebraic decompositions of commutative association schemes ⋮ Association schemes of quadratic forms and symmetric bilinear forms

Cites Work

• Three addition theorems for some q-Krawtchouk polynomials
• Alternating bilinear forms over GF(q)
• Exponential Sums for Symmetric Matrices in a Finite Field
• Some q-Krawtchouk Polynomials on Chevalley Groups
• A new 5‐arc‐transitive cubic graph
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